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A weighted mean temperature (Tm) augmentation method based on global latitude zone

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Abstract

The weighted mean temperature (Tm) is a function of atmospheric temperature and vertical humidity profiles. It plays a crucial role in the progress of retrieving water vapor information from the tropospheric delay of GNSS signals. The Tm estimated by the empirical models is always used to convert the zenith wet delay (ZWD) to precipitable water vapor (PWV) in GNSS meteorology. However, these empirical Tm models used trigonometric functions, making it difficult to describe Tm in detail and leading to an obvious accuracy difference with latitude changes. Thus, a global latitude zone augmentation mode was adopted for the empirical Tm models; the augmentation coefficients for each latitude zone were obtained by introducing the measured surface temperature and using the least-squares method. Using the Tm data of 2011–2015 derived from radiosonde, the GPT3 model, UNB3m model, and GWTMD model were augmented and analyzed. The results show that all augmentation models can improve the accuracy of the estimated Tm compared with their corresponding original models, and their levels of improvement are different. The three augmentation models achieved an average RMSE of 2.79 K, 3.47 K, and 3.22 K, which correspond to 22%, 49%, and 8% improvement against the GPT3 model, UNB3m model, and GWTMD model. In addition, the comparisons with the Tm linear formula were carried out and showed the superiority of the augmentation models.

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Data availability

The datasets generated and analyzed during the current study are available from the corresponding author upon reasonable request. The radiosonde data can be found at http://weather.uwyo.edu/ypperair/sounding.html.

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Acknowledgements

Thanks to the University of Wyoming for providing radiosonde data. This study is supported by Beijing Natural Science Foundation (No. 8224093), China Postdoctoral Science Foundation (No. 2021M703510), the Fundamental Research Funds for the Central Universities (No. 2021XJDC01), Beijing Key Laboratory of Urban Spatial Information Engineering (No. 20220117), State Key Laboratory of Geodesy and Earth’s Dynamics, Institute of Geodesy and Geophysics CAS (SKLGED2022-3-1), the Key Laboratory of South China Sea Meteorological Disaster Prevention and Mitigation of Hainan Province (No. SCSF202109), and the National Natural Science Foundation of China (Nos. 42074036, 42001368). We thank all anonymous reviewers for their valuable, constructive, and prompt comments.

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Correspondence to Zhicai Li.

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Yang, F., Wang, L., Li, Z. et al. A weighted mean temperature (Tm) augmentation method based on global latitude zone. GPS Solut 26, 141 (2022). https://doi.org/10.1007/s10291-022-01335-y

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